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BSc Mathematics and Philosophy / Course details

Year of entry: 2018

Course description

This joint-honours degree programme, representing a close and fruitful connection which has existed since the time of the ancient Greeks, explores both sides of the programme together with the interesting border region between the two. Both disciplines are given equal weight and each offers a wide range of options. In your final year you do a substantial Philosophy dissertation and  can choose to do a project on a mathematical topic, supervised by a member of staff.  The content of the programme is closely linked with that of the two individual single-honours degrees, and so transfer to either of these Schools is possible at the end of the first year.

Special features

  • Generous entrance scholarships are available.
  • Small group teaching is a significant part of the first year.
  • A wide range of options is available in the third year.
  • All undergraduate students have affiliate membership of the Institute of Mathematics and its Applications.

Teaching and learning

Most teaching takes the form of lectures, with various support classes (example classes, small group tutorials or sessions in one of the computer clusters) to help you get to grips with the material, exploring topics and working on examples set by the lecturers.

Coursework and assessment

Most course units have some continual assessment (which may be, for instance, a combination of homework, in-class tests, essays and presentations where appropriate), which is put together with the result of an end-of-semester examination to provide the final mark. Some course units (such as a project) are assessed entirely by your submitted work during the semester. The class of your degree is normally based on only your last two years' work.

Course content for year 1

Course units for year 1

The course unit details given below are subject to change, and are the latest example of the curriculum available on this course of study.

TitleCodeCredit ratingMandatory/optional
Foundations of Pure Mathematics B MATH10111 15 Mandatory
Calculus and Vectors B MATH10131 15 Mandatory
Linear Algebra B MATH10212 15 Mandatory
Calculus and Applications B MATH10232 15 Mandatory
Introduction to Ethics PHIL10021 20 Mandatory
Introduction to Metaphysics and Epistemology PHIL10622 20 Mandatory
Introduction to Philosophy of Mind PHIL10632 20 Mandatory

Course content for year 2

Course units for year 2

The course unit details given below are subject to change, and are the latest example of the curriculum available on this course of study.

TitleCodeCredit ratingMandatory/optional
Real Analysis MATH20111 10 Mandatory
Complex Analysis MATH20142 10 Mandatory
Introduction to Logic MATH20302 10 Mandatory
Probability 1 MATH10141 10 Optional
Metric Spaces MATH20122 10 Optional
Calculus of Several Variables MATH20132 10 Optional
Algebraic Structures 1 MATH20201 10 Optional
Algebraic Structures 2 MATH20212 10 Optional
Introduction to Geometry MATH20222 10 Optional
Partial Differential Equations and Vector Calculus B MATH20411 10 Optional
Discrete Mathematics MATH20902 10 Optional
Introduction to Financial Mathematics MATH20912 10 Optional
Philosophy of Religion PHIL20021 20 Optional
Locke, Berkeley, Hume PHIL20212 20 Optional
Ethics PHIL20232 20 Optional
20th Century Analytical Philosophy PHIL20241 20 Optional
Philosophy of Mind PHIL20271 20 Optional
Philosophical Methods PHIL20891 20 Optional
Aesthetics PHIL20952 20 Optional
Displaying 10 of 19 course units for year 2

Course content for year 3

Course units for year 3

The course unit details given below are subject to change, and are the latest example of the curriculum available on this course of study.

TitleCodeCredit ratingMandatory/optional
Mathematics Education MATH30002 10 Optional
Project (Semester One) MATH30011 10 Optional
Project (Semester 2) MATH30022 10 Optional
Linear Analysis MATH31001 10 Optional
Fractal Geometry MATH31042 10 Optional
Topology MATH31052 10 Optional
Riemannian Geometry MATH31082 10 Optional
Group Theory MATH32001 10 Optional
Commutative Algebra MATH32011 10 Optional
Coding Theory MATH32032 10 Optional
Hyperbolic Geometry MATH32051 10 Optional
Algebraic Geometry MATH32062 10 Optional
Number Theory MATH32072 10 Optional
Mathematical Logic MATH33011 10 Optional
Applied Complex Analysis MATH34001 10 Optional
Asymptotic Expansions & Perturbation Methods MATH34011 10 Optional
Green's Functions, Integral Equations and Applications MATH34032 10 Optional
Viscous Fluid Flow MATH35001 10 Optional
Wave Motion MATH35012 10 Optional
Elasticity MATH35021 10 Optional
Mathematical Biology MATH35032 10 Optional
Symmetry in Nature MATH35081 10 Optional
Matrix Analysis MATH36001 10 Optional
Numerical Analysis II MATH36022 10 Optional
Problem Solving by Computer MATH36032 10 Optional
Essential Partial Differential Equations MATH36041 10 Optional
Convex Optimization MATH36061 10 Optional
Combinatorics and Graph Theory MATH39001 10 Optional
Mathematical Modelling in Finance MATH39032 10 Optional
Metaphysics PHIL30212 20 Optional
Special Author:Wittgenstein PHIL30251 20 Optional
Philosophy of Language PHIL30311 20 Optional
Issues in Epistemology PHIL30331 20 Optional
Philosophy of Psychology PHIL30361 20 Optional
Advanced Topics in Aesthetics: Fiction PHIL30622 20 Optional
Philosophy of Mathematics PHIL30722 20 Optional
Metaethics and Religious Language PHIL30842 20 Optional
Personhood and Freedom of the Will PHIL33241 20 Optional
Displaying 10 of 38 course units for year 3

Scholarships and bursaries

The School of Mathematics offers scholarships for academically excellent students from the UK and around the world; contact the School for more details.


The School of Mathematics is based in the brand new, purpose built £40 million Alan Turing Building, set at the heart of the University Campus.  Students benefit from extensive facilities for computing and study, relaxation and refreshment, in an attractive, light and comfortable environment.  Computing: The School of Mathematics has a number of computer clusters that run the standard software as well as powerful mathematical and statistical software, such as Matlab, Minitab and Mathematica.  All our students have free access to email and the internet.  Other larger clusters are available in the University libraries and clusters are situated in most Halls of Residence; most student rooms also have Ethernet connection.  Library: You will have access to the John Rylands University Library of Manchester, one of the largest and best-equipped libraries in the UK.  A special section of this library provides a short loan facility, where you can reliably obtain textbooks that are recommended for particular courses and borrow them on an overnight basis.  The School of Mathematics also houses a mathematical library of more advanced books and other material used mainly by research students and staff.

Disability support